You can look into Forge to see if there is any application or component similar to Trello. But I don't know any.Trello is a very complex app, and so, if you want to create something siilar, you probably will have to do it yourself.

As a "base", you can take a look into OnTrack, for example, and adapt it to your needs. I know there are other applications on Forge that may be usefull or even be what you need. But you have really to explore it :)